1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Igoryamba
3 years ago
13

Xander goes to the movies with his soccer team. Each team member buys a ticket and two

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Given that, the cost of a ticket = t and

cost of a box of popcorn =  p.

Total members in the team = 13

As each team member buys 1 ticket and 2  boxes of popcorn, so, the amount spent by one member, C_1 = t+2p

So, the total amount that the team spent = 13C_1

(a) So, the first expression, representing the total amount spent by the team, is

13\times (t+2p)\cdots(i)

On simplification, the second expression, representing the total amount spent by the team, is

13\timest + 13\times (2p)

=13t+26p\cdots(ii)

(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn

You might be interested in
Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
Read 2 more answers
A 20.3 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The
VMariaS [17]

Answer:

Q = arctan(7.1739) = 82.06

Step-by-step explanation:

Given:

- The mass of the person m = 20.3 kg

- The distance traveled up the ladder s = 1.1 m

- The gravitational constant g = 9.8 m/s^2

- The coefficient of static friction u_s = 0.23

- Total length of the ladder

Find:

The minimum angle θ, that would allow the person to climb without ladder slipping

Solution:

- Taking moments about point of ladder and wall contact A to be zero:

                   -F_n,b*cos(Q)*4 - F_f*sin(Q)*4+ m*g*cos(Q)*2.6 = 0

- Taking Sum of vertical forces to be zero:

                    F_n,b - m*g = 0

                    F_n,b = m*g

- The frictional force F_f is given by:

                   F_f = u_s*F_n,b = u_s*m*g

- Plug the values back in:

                  - m*g*cos(Q)*4 + u_s*m*g*sin(Q)*4 - m*g*cos(Q)*2.6 = 0

Simplify:

                  4*cos(Q) + 2.6*cos(Q) = u_s*4*sin(Q)

                        6.6*cos(Q) = 4*u_s*sin(Q)

                               tan(Q) = 6.6 / 4*u_s

- Plug in the values:

                               tan(Q) = 6.6 / 4*0.23

                                    Q = arctan(7.1739) = 82.06

                   

                     

4 0
3 years ago
Which of these equations could represent the blue line?
Kitty [74]

Answer:

y = 1/2x

Step-by-step explanation:

The x seems to double the size of the y on the points.

5 0
2 years ago
If an airplane passes directly over your head at an altitude of 12 kilometers, how far is the airplane from your position after
rewona [7]

Answer:

20 km

Step-by-step explanation:

We will imagine a triangle. The hypotenuse of the triangle is the distance between you and the plane. 16 kilometres is the aerial space between you two, in other words its the base of the triangle. 12 km is the length of the third leg of the triangle. We will apply the pythagorean theorem to find the length of the hypotenuse and the distance between you and the plane.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root of 400 is c which equals 20 km.

8 0
2 years ago
If 3(y + 12) = 24, find the value of 18y.
Goryan [66]
First divide both sides by 3 and you’ll get
(y+12)=8 “y” will then equal -4 as -4+12=8=8 so therefore 18y= -72
4 0
2 years ago
Other questions:
  • The diagram shows an 8 foot ladder leaning against a wall
    13·2 answers
  • Evaluate -6^ 2 - 28 ÷ 4 + (-9).<br><br> 52<br> -52<br> 20<br> -20
    8·1 answer
  • 2/3 + 3/4=? (pls show the steps on how you got an awnser :) )
    13·2 answers
  • Dina is getting a new rug for her hallway. The rug is 5/6 meter wide and 9 meters long. What is the area of the rug?
    7·1 answer
  • Which correctly compares the height of the rock during days 3 and 4?
    8·1 answer
  • 20 point
    13·2 answers
  • Please help me with this Math
    5·2 answers
  • Which of the following could be<br> the sum of exactly three<br> consecutive even integers?
    5·1 answer
  • For g (2) = 3x – 2 find the value of x<br> -<br> for which g(x) = 10
    5·1 answer
  • Two ladders AB and PQ are resting against opposite
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!